Defining parameters
Level: | \( N \) | \(=\) | \( 7254 = 2 \cdot 3^{2} \cdot 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7254.mk (of order \(60\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 403 \) |
Character field: | \(\Q(\zeta_{60})\) | ||
Sturm bound: | \(2688\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7254, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 21760 | 2976 | 18784 |
Cusp forms | 21248 | 2976 | 18272 |
Eisenstein series | 512 | 0 | 512 |
Decomposition of \(S_{2}^{\mathrm{new}}(7254, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7254, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7254, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(403, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(806, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1209, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2418, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3627, [\chi])\)\(^{\oplus 2}\)